Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model
Analysis of PDEs
2026-03-26 v2
Abstract
We study an axial dispersion tubular reactor model governed by a nonlinear parabolic equation with Robin-type boundary conditions and boundary feedback control. We derive sufficient conditions for the exponential stability of the steady-state solution of the closed-loop system and provide an explicit estimate of the decay rate. In addition, numerical simulations are presented to illustrate the sharpness of the obtained decay rate for different choices of the feedback gain parameter.
Cite
@article{arxiv.2603.23151,
title = {Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model},
author = {Yevgeniia Yevgenieva and Alexander Zuyev and Christophe Prieur and Peter Benner},
journal= {arXiv preprint arXiv:2603.23151},
year = {2026}
}
Comments
This work has been submitted to the IEEE for possible publication